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2500755264 = 26327620227
BaseRepresentation
bin1001010100001110…
…0111111101000000
320110021121112022100
42111003213331000
520110143132024
61052051510400
7115654032450
oct22503477500
96407545270
102500755264
11107367a497
125995b8400
1330b135157
1419a1a9d60
15e98297c9
hex950e7f40

2500755264 has 84 divisors (see below), whose sum is σ = 8191971424. Its totient is φ = 714500352.

The previous prime is 2500755259. The next prime is 2500755269. The reversal of 2500755264 is 4625570052.

It is an interprime number because it is at equal distance from previous prime (2500755259) and next prime (2500755269).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500755269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306082 + ... + 314145.

Almost surely, 22500755264 is an apocalyptic number.

2500755264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2500755264 is an abundant number, since it is smaller than the sum of its proper divisors (5691216160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2500755264 is a wasteful number, since it uses less digits than its factorization.

2500755264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620252 (or 620239 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2500755264 is about 50007.5520696624. The cubic root of 2500755264 is about 1357.3454679969.

The spelling of 2500755264 in words is "two billion, five hundred million, seven hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 620227 1240454 1860681 2480908 3721362 4341589 4961816 5582043 7442724 8683178 9923632 11164086 13024767 14885448 17366356 19847264 22328172 26049534 29770896 34732712 39074301 39694528 44656344 52099068 59541792 69465424 78148602 89312688 104198136 119083584 138930848 156297204 178625376 208396272 277861696 312594408 357250752 416792544 625188816 833585088 1250377632 2500755264